A student writes the equation for the capillary rise of a liquid in a tube as h=(rhog)/(2Tcos theta), where r is the radius of the capillary tube, rho is the density of liquid, T is the surface tension and theta is the angle of contact. Check the correctness of the equation using dimensional analysis?

A student writes the equation for the capillary rise of a liquid in a

1.	A student writes the equation for the capillary rise of a liquid in a tube as h=(rhog)/(2Tcos theta), where r is the radius of the capillary tube, rho is the density of liquid, T is the surface tension and theta is the angle of contact. Check the correctness of the equation using dimensional analysis?
Answer» Solution :`h to [L], [rho g //T]=[ML^(_3)xxLT^(-2)//MT^(-2)]=[L^(-2)]`. Equation is not CORRECT.